{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b1eb9ff3-4a62-4e61-93b5-718f36a47d2d",
   "metadata": {},
   "source": [
    "Chapter 15\n",
    "\n",
    "# 空手道俱乐部成员聚类\n",
    "《线性代数》 | 鸢尾花书：数学不难"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd3b56ee-5a96-4808-af71-50a3b624806b",
   "metadata": {},
   "source": [
    "首先，代码导入了常用的数学、绘图库，包括NumPy、Pandas、Matplotlib、NetworkX和Seaborn。随后，调用`nx.karate_club_graph()`导入了Zachary’s Karate Club图$G$，这是一个经典的无向图，用来模拟俱乐部成员间的社交关系。节点代表成员，边代表成员之间的友好关系。\n",
    "\n",
    "接着，利用`spring_layout`布局（基于弹簧模型优化）生成节点的位置`pos`，并用`draw_networkx`函数绘制了整个图$G$。这一部分是直观展示图结构。\n",
    "\n",
    "之后，代码通过`nx.adjacency_matrix(G).toarray()`提取了图$G$的邻接矩阵$A$，邻接矩阵是一个$34\\times34$的矩阵，其中$A_{ij}=1$表示节点$i$与节点$j$有边相连，$A_{ij}=0$表示无连接。邻接矩阵$A$用Seaborn绘制了热力图，帮助我们视觉上感知节点之间的连接模式。\n",
    "\n",
    "接着，计算度矩阵$D$，即每个节点的度数（连接的边数量）作为主对角线元素，非对角线为0的对角矩阵。数学上，若节点$i$的度数为$d_i$，那么度矩阵为：\n",
    "\n",
    "$$\n",
    "D = \\text{diag}(d_1,d_2,\\ldots,d_{34})\n",
    "$$\n",
    "\n",
    "这里，$d_i = \\sum_{j} A_{ij}$。同样地，度矩阵也以热力图的方式展示。\n",
    "\n",
    "在度分析部分，代码首先对节点的度数降序排列，得到度数序列。并画出每个节点对应的度数条形图，横轴是节点编号，纵轴是对应的度数。随后自定义了一个函数`filter_value`，用于筛选出具有特定度数的节点，便于后续以不同颜色渲染不同度数的节点。在这一部分，代码用`viridis`色带根据不同度数着色节点，强调节点度数的分布差异。\n",
    "\n",
    "然后，计算无向图的标准拉普拉斯矩阵$L$。拉普拉斯矩阵的定义是：\n",
    "\n",
    "$$\n",
    "L = D - A\n",
    "$$\n",
    "\n",
    "其中$D$是度矩阵，$A$是邻接矩阵。矩阵$L$反映了图的连接结构，在图论中有非常重要的应用，例如图的切割、聚类等。这里同样绘制了$L$的热力图。\n",
    "\n",
    "接下来，计算了归一化拉普拉斯矩阵$L_{\\text{norm}}$。归一化是为了消除节点度数的影响，使得后续的谱分析更加稳定。归一化拉普拉斯的定义为：\n",
    "\n",
    "$$\n",
    "L_{\\text{norm}} = D^{-\\frac{1}{2}} L D^{-\\frac{1}{2}}\n",
    "$$\n",
    "\n",
    "其中$D^{-\\frac{1}{2}}$是度矩阵$D$主对角线上元素的平方根倒数。代码中首先用NumPy构建了$D^{-\\frac{1}{2}}$，然后矩阵相乘得到$L_{\\text{norm}}$，并再次绘制其热力图。\n",
    "\n",
    "随后进行特征值分解，对归一化拉普拉斯矩阵$L_{\\text{norm}}$执行$\\text{eig}$分解，求得其特征值$\\lambda_i$和对应的特征向量$v_i$。即：\n",
    "\n",
    "$$\n",
    "L_{\\text{norm}} v_i = \\lambda_i v_i\n",
    "$$\n",
    "\n",
    "这里得到的特征值$\\lambda_i$按照从小到大的顺序排列，特征向量$v_i$也按对应顺序重排。对所有特征向量构成的矩阵$V_{\\text{sorted}}$以及特征值对角矩阵进行可视化热力图展示。\n",
    "\n",
    "接下来，代码将特征值按节点编号绘制条形图。每个条代表一个节点，条高表示特征值大小。可以观察到，最小的特征值为0，对应归一化拉普拉斯矩阵的常见特性（因为拉普拉斯矩阵总是半正定的）。\n",
    "\n",
    "在低维空间投影部分，代码选取了特征向量矩阵$V_{\\text{sorted}}$的第一列和第二列，绘制成二维散点图。根据第二个特征向量（通常称为Fiedler向量）$v_2$的符号，将节点分为两类：$v_2 > 0$的一类用红色表示，$v_2 < 0$的一类用蓝色表示。每个节点的位置由$(v_1,v_2)$确定，并在图中标上节点编号。这个过程相当于用前两个特征向量构造了一个低维空间，将原图的高维结构进行可视化降维，捕捉图的社区结构。\n",
    "\n",
    "最后，代码依据$v_2$的符号，将原图节点上色：$v_2>0$的节点为红色，$v_2<0$的节点为蓝色，再次在原图$G$上绘制，从而清晰地看到俱乐部成员在社交网络中自然形成的两大社群。这实际上就是**谱聚类**（Spectral Clustering）最核心的直观步骤。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4dbb5cc7-ca6d-49ea-b7a8-97d0a78dc9ec",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aadef33b",
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6bedd6a-b723-436b-8817-d2d703654292",
   "metadata": {},
   "source": [
    "## 导入数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7c508521-02f6-4282-93ad-2e8436d4e871",
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    "G = nx.karate_club_graph() \n",
    "# 空手道俱乐部图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "433f2a5f-8aaf-4ba6-bb42-f062f90961fa",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "114dfd77-8f28-4054-bfb9-449e534df2ec",
   "metadata": {
    "hide-output": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = nx.spring_layout(G,seed=2) \n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G,\n",
    "                 pos = pos) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e42245af-6976-4b66-bf4e-282472041b3e",
   "metadata": {},
   "source": [
    "## 邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4c9dd8e4-6b8a-4bda-a6c7-5d23cfa6af50",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = nx.adjacency_matrix(G).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "afda9b30-3c36-40a5-923f-21584d57e406",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(A, cmap=\"viridis\", square=True, \n",
    "            cbar=True, linecolor = 'k', \n",
    "            linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec9cdcdc-f2a4-41c0-b343-3135dc96e638",
   "metadata": {},
   "source": [
    "## 度矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1751537a-d640-4ae7-bca3-625e31103ca9",
   "metadata": {},
   "outputs": [],
   "source": [
    "degrees = np.sum(A, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "69668cf6-7487-4890-823f-78b55ab416da",
   "metadata": {},
   "outputs": [],
   "source": [
    "D = np.diag(degrees)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ed4a9e62-fbf4-499f-ac02-6fa66bd59c33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(D, cmap=\"viridis\", \n",
    "            square=True, cbar=True, \n",
    "            linecolor = 'k', linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdac2f65-dced-43d8-8634-ea74c1afce68",
   "metadata": {},
   "source": [
    "## 度分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "349f303f-fedf-433f-93e1-494879edcecc",
   "metadata": {},
   "outputs": [],
   "source": [
    "degree_sequence = sorted((d for n, d in G.degree()), \n",
    "                         reverse=True)\n",
    "# 度数大小排序\n",
    "dmax = max(degree_sequence)\n",
    "dict_degree = dict(G.degree())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4c4b2989-08af-4d55-ac35-d4c1bd3039c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 每个节点的具体度数\n",
    "plt.bar(dict_degree.keys(),dict_degree.values())\n",
    "plt.xlabel('Node label')\n",
    "plt.ylabel('Degree')\n",
    "plt.xlim(0, 33)\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e609e9d4-c0fc-4767-bf60-8ee571aa1b57",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数，过滤dict\n",
    "def filter_value(dict_, unique):\n",
    "    \n",
    "    newDict = {}\n",
    "    for (key, value) in dict_.items():\n",
    "        if value == unique:\n",
    "            newDict[key] = value\n",
    "            \n",
    "    return newDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "9eb6168e-d64e-468f-a9dc-b0a6f2a0cce2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\anaconda3\\Lib\\site-packages\\networkx\\drawing\\nx_pylab.py:450: UserWarning: *c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*.  Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
      "  node_collection = ax.scatter(\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 根据度数大小渲染节点\n",
    "unique_deg = set(degree_sequence)\n",
    "# 取出节点度数独特值\n",
    "\n",
    "colors = plt.cm.viridis(np.linspace(0, 1, len(unique_deg)))\n",
    "# 独特值的颜色映射\n",
    "\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx_edges(G, pos)\n",
    "# 绘制图的边\n",
    "\n",
    "# 分别绘制不同度数节点\n",
    "for deg_i, color_i in zip(unique_deg,colors):\n",
    "    \n",
    "    dict_i = filter_value(dict_degree,deg_i)\n",
    "    nx.draw_networkx_nodes(G, pos, \n",
    "                           nodelist = list(dict_i.keys()), \n",
    "                           node_color = color_i)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6ba5d51-c7a4-4c52-86d1-683a963f8edb",
   "metadata": {},
   "source": [
    "## 计算拉普拉斯矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d775b843-7420-48b7-bb3f-294572bb4afb",
   "metadata": {},
   "outputs": [],
   "source": [
    "L = D - A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "70c08a84-7537-4e99-a3a1-79ee28759114",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(L, cmap=\"viridis\", \n",
    "            square=True, cbar=True, \n",
    "            linecolor = 'k', linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb61f700-c8e7-44b9-86e5-df077f1018c9",
   "metadata": {},
   "source": [
    "## 计算归一化拉普拉斯"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "cd2d3357-9a32-4b06-8bfa-2427a339cacf",
   "metadata": {},
   "outputs": [],
   "source": [
    "D_inv_sqrt = np.diag(1.0 / np.sqrt(degrees))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "4d07e041-ec9a-40bd-a9f0-440bb99162cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "L_norm = D_inv_sqrt @ L @ D_inv_sqrt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "78bd9256-3474-49fa-8019-8172c77a8f20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(L_norm, cmap=\"viridis\", \n",
    "            square=True, cbar=True, \n",
    "            linecolor = 'k', linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab7f09ea-f578-414d-967b-7f6babd1c48e",
   "metadata": {},
   "source": [
    "## 特征值分解"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "9245f92a-43bb-4916-b5cd-aaff27f71c8e",
   "metadata": {},
   "outputs": [],
   "source": [
    "lambdas,V = np.linalg.eig(L_norm)\n",
    "# 特征值分解"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d95da022-b705-4d06-828e-dfae0ca41621",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 按特征值有小到大排列\n",
    "lambdas_sorted = np.sort(lambdas)\n",
    "V_sorted = V[:, lambdas.argsort()]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daf604d2-f987-4f8d-8a56-36ce15da2d78",
   "metadata": {},
   "source": [
    "## 特征向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "0072c14f-6438-46c4-ae9e-f55598c51bad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(V_sorted,cmap = 'viridis',\n",
    "            square = True,\n",
    "            linecolor = 'k', linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05266917-24be-4a5b-a0aa-32814fd03f5e",
   "metadata": {},
   "source": [
    "## 特征值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "18dcba53-6ab5-4898-8a78-410d23e08cd8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 8))\n",
    "sns.heatmap(np.diag(lambdas_sorted),\n",
    "            cmap = 'viridis',square = True,\n",
    "            # xticklabels = [], yticklabels = [],\n",
    "            linecolor = 'k', linewidths = 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "ca0bf1ab-6d70-4ef0-80b9-83877d2c218b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(dict_degree.keys(),lambdas_sorted)\n",
    "plt.ylabel('Ascending eigenvalue')\n",
    "plt.xlabel('Rank')\n",
    "plt.xlim(0,33)\n",
    "plt.ylim(0,2)\n",
    "plt.grid(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53540c0f-e392-473b-a5fa-7eb788a2185b",
   "metadata": {},
   "source": [
    "## 低维度空间投影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "42a0ea73-c755-4494-9569-919ce3dcc4e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "\n",
    "# 根据纵轴 y 值，分别筛选两类点\n",
    "positive_idx = V_sorted[:,1] > 0\n",
    "negative_idx = V_sorted[:,1] < 0\n",
    "\n",
    "# 画纵轴大于0的点，红色\n",
    "plt.scatter(V_sorted[positive_idx, 0], V_sorted[positive_idx, 1], \n",
    "            color='red', label='y > 0')\n",
    "\n",
    "# 画纵轴小于0的点，蓝色\n",
    "plt.scatter(V_sorted[negative_idx, 0], V_sorted[negative_idx, 1], \n",
    "            color='blue', label='y < 0')\n",
    "\n",
    "# 给每个散点添加节点编号\n",
    "for i in range(V_sorted.shape[0]):\n",
    "    plt.text(V_sorted[i,0]+0.003, V_sorted[i,1]+0.003,  # 文本位置稍微偏移一点\n",
    "             str(i),  # 节点编号\n",
    "             fontsize=10, \n",
    "             ha='center', va='center')\n",
    "\n",
    "plt.grid(True)\n",
    "plt.xlabel('First eigenvector')\n",
    "plt.ylabel('Second eigenvector')\n",
    "plt.legend()  # 添加图例\n",
    "plt.savefig('特征向量散点图带标签和颜色区分.svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34dffef5-df73-401c-baab-9e7d0f3397e5",
   "metadata": {},
   "source": [
    "## 聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "fe06017e-93ed-4d5a-b453-7bb88b4b13d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = [ \"r\" for i in range(0,34)] \n",
    "for i in range(0,34):\n",
    "    if (V_sorted[i,1] < 0):\n",
    "        colors[i] = \"b\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "a421f255-bdd1-4ad6-817b-cf8f52ba7d0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G,pos,\n",
    "                 # with_labels = False,\n",
    "                 node_color=colors)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ba6484c-2269-4cf4-befc-165f9c63c654",
   "metadata": {},
   "source": [
    "作者\t**生姜DrGinger**  \n",
    "脚本\t**生姜DrGinger**  \n",
    "视频\t**崔崔CuiCui**  \n",
    "开源资源\t[**GitHub**](https://github.com/Visualize-ML)  \n",
    "平台\t[**油管**](https://www.youtube.com/@DrGinger_Jiang)\t\t\n",
    "\t\t[**iris小课堂**](https://space.bilibili.com/3546865719052873)\t\t\n",
    "\t\t[**生姜DrGinger**](https://space.bilibili.com/513194466)  "
   ]
  }
 ],
 "metadata": {
  "date": 1695941989.03344,
  "filename": "networks.md",
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  },
  "title": "Social and Economic Networks"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
